منابع مشابه
Measure-expansive Systems
We call a dynamical system on a measurable metric space measureexpansive if the probability of two orbits remain close each other for all time is negligible (i.e. zero). We extend results of expansive systems on compact metric spaces to the measure-expansive context. For instance, the measureexpansive homeomorphisms are characterized as those homeomorphisms f for which the diagonal is almost in...
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We introduce the notions of weakly and strongly positively expansive (wPE and sPE, respectively) discrete dynamical systems. Both are topological generalizations of the well-known metric notion of positive expansiveness (PE). We prove that the three notions are identical on compact metrizable spaces, but not on noncompact spaces. We investigate properties of PE, wPE, and sPE dynamical systems a...
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The behavior of fibrewise localization and completion on the classifying space level is analyzed. The relationship of these constructions to fibrewise joins and smash products and to orientations of spherical fibrations is also analyzed. This theory is essential to validate Sullivan's proof of the Adams conjecture. In Sullivan's beautiful proof of the Adams conjecture [20], perhaps the crucial ...
متن کاملRuelle operator theorem for non-expansive systems
The Ruelle operator theorem has been studied extensively both in dynamical systems and iterated function systems. In this paper we study the Ruelle operator theorem for non-expansive systems. Our theorems give some sufficient conditions for the Ruelle operator theorem to be held for a non-expansive system.
متن کاملPoincaré Duality Embeddings and Fibrewise
We prove a relative Poincaré embedding theorem for maps of pairs into a Poincaré pair. This result has applications: it is the engine of the compression theorem of the author’s paper in Algebr. Geom. Topol. 2, (2002) 311–336, it yields a Poincaré space version of Hudson’s embedding theorem, and it can be used to equip 2-connected Poincaré spaces with handle decompositions.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2002
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(01)00248-6